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                [中山市选2011]小W的问题                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><div class="Section0" style="layout-grid:  15.6pt none">
<h2 style="margin-top: 0pt; margin-bottom: 0pt; text-align: center"><span style="font-weight: bold; font-size: 18pt; font-family: '黑体'; mso-spacerun: 'yes'">小W的问题</span><span style="font-weight: bold; font-size: 18pt; font-family: '黑体'; mso-spacerun: 'yes'"><o:p></o:p></span></h2>
<h2 style="margin-top: 0pt; margin-bottom: 0pt"><span style="font-weight: normal; font-size: 12pt; font-family: '黑体'; mso-spacerun: 'yes'">【问题描述】</span><span style="font-weight: normal; font-size: 12pt; font-family: '黑体'; mso-spacerun: 'yes'"><o:p></o:p></span></h2>
<p class="p0" style="margin-top: 0pt; margin-bottom: 7.8pt; text-indent: 21pt"><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">有一天，小<font face="Times New Roman">W</font><font face="宋体">找了一个笛卡尔坐标系，并在上面选取了</font></span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">N</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">个整点。他发现通过这些整点能够画出很多个&ldquo;<font face="Times New Roman">W</font><font face="宋体">&rdquo;出来。具体来说，对于五个</font></span><span style="font-size: 12pt; font-family: '宋体'; text-decoration: underline; mso-spacerun: 'yes'">不同</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">的点<font face="Times New Roman">(</font></span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">x</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">1</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">,&nbsp;</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">y</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">1</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">),&nbsp;(</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">x</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">2</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">,&nbsp;</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">y</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">2</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">),&nbsp;(</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">x</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">3</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">,&nbsp;</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">y</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">3</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">),&nbsp;(</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">x</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">4</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">,&nbsp;</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">y</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">4</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">),&nbsp;(</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">x</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">5</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">,&nbsp;</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">y</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">5</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">)<font face="宋体">，如果满足：</font></span><span style="font-size: 12pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 7.8pt; text-indent: 21pt"><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">&middot;</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">x</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">1&nbsp;</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">&lt;&nbsp;</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">x</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">2&nbsp;</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">&lt;&nbsp;</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">x</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">3&nbsp;</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">&lt;&nbsp;</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">x</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">4&nbsp;</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">&lt;&nbsp;</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">x</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">5</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 7.8pt; text-indent: 21pt"><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">&middot;</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">y</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">1</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">&nbsp;&gt;&nbsp;</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">y</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">3</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">&nbsp;&gt;&nbsp;</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">y</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">2</span><span style="font-size: 12pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 7.8pt; text-indent: 21pt"><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">&middot;</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">y</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">5</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">&nbsp;&gt;&nbsp;</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">y</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">3</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">&nbsp;&gt;&nbsp;</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">y</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">4</span><span style="font-size: 12pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 7.8pt; text-indent: 21pt"><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">则称它们构成一个&ldquo;<font face="Times New Roman">W</font><font face="宋体">&rdquo;形。</font></span><span style="font-size: 12pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 7.8pt; margin-bottom: 0pt; text-indent: 24pt"><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">现在，小<font face="Times New Roman">W</font><font face="宋体">想统计&ldquo;</font><font face="Times New Roman">W</font><font face="宋体">&rdquo;形的个数，也就是满足上面条件的五元点组个数。你能帮助他吗？</font></span><span style="font-size: 12pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<h2 style="margin-top: 0pt; margin-bottom: 0pt"><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">。</span></h2>
</div>
<!--EndFragment--></p><hr/><h3>输入格式</h3><p><h2 style="margin-top: 0pt; margin-bottom: 0pt"><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'"><font face="宋体">&nbsp;&nbsp;&nbsp; 第一行包含一个整数</font></span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">N</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">，表示点的个数。</span><span style="font-size: 12pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></h2>
<p class="p0" style="margin-top: 7.8pt; margin-bottom: 0pt; text-indent: 24pt"><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">下面</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">N</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">行每行两个整数，第</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">i</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">+1<font face="宋体">行为</font><font face="Times New Roman">(</font></span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">x</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">i</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">,&nbsp;</span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">y</span><span style="font-size: 12pt; vertical-align: sub; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">i</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">)<font face="宋体">，表示第</font></span><span style="font-size: 12pt; font-style: italic; font-family: '宋体'; mso-spacerun: 'yes'">i</span><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'">个点的坐标。</span><span style="font-size: 12pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<h2 style="margin-top: 0pt; margin-bottom: 0pt"></h2></p><hr/><h3>输出格式</h3><p><h2 style="margin-top: 0pt; margin-bottom: 0pt"><span style="font-size: 12pt; font-family: '宋体'; mso-spacerun: 'yes'"><font face="宋体">仅包含一行，为&ldquo;</font><font face="Times New Roman">W</font><font face="宋体">&rdquo;形个数模</font><font face="Times New Roman">1&nbsp;000&nbsp;000&nbsp;007</font><font face="宋体">的值</font></span><span style="font-size: 10.5pt; font-family: '宋体'; mso-spacerun: 'yes'">。</span><span style="font-size: 12pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></h2></p><hr/><h3>样例输入</h3><pre>6

1 10

2 1

3 5

4 6

5 1

6 10
</pre><hr/><h3>样例输出</h3><pre>3

</pre><hr/><h3>提示</h3><p><p>对于100%的数据满足N &le; 200 000，0 &le; xi &le; 10^9，0 &le; yi &le; 10^9<br />
</p></p><hr/><h3>题目来源</h3><p>Day2</p>
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